Pilot Study of Allogeneic Tumor Cell Vaccine With Metronomic Oral Cyclophosphamide and Celecoxib in Patients Undergoing Resection of Lung and Esophageal Cancers, Thymic Neoplasms, and Malignant Pleural Mesotheliomas

-INCLUSION CRITERIA: 1. Patients with primary small cell or non-small cell lung cancer, esophageal cancer, thymoma, thymic carcinoma, primary sarcoma of the chest, or pleural mesothelioma with no evidence of disease (NED) or minimal residual disease (MRD) in the primary site following standard multi-modality therapy. 2. Patients must be evaluated within 52 weeks following completion of standard therapy and have shown no evidence of disease during that time. 3. Patients with intracranial metastases, which have been treated by surgery or radiation therapy may be eligible for study provided there is no evidence of active disease and no requirement for anticonvulsant therapy or steroids following treatment. 4. Patients must have an ECOG performance status of 0 - 2. 5. Patients must be 18 years of age or older due to the unknown effects of immunologic responses to germ cell-restricted gene products during childhood and adolescent development. 6. Patients must have evidence of adequate bone marrow reserve, hepatic and renal function as evidenced by the following laboratory parameters: * Absolute neutrophil count greater than 1500/mm\^3 * Platelet count greater than 100,000/mm\^3 * Hemoglobin greater than 8g/dl (patients may receive transfusions to meet this parameter) * PT within 2 seconds of the ULN * Total bilirubin \<1.5 times upper limits of normal * Serum creatinine less than or equal to 1.6 mg/ml or the creatinine clearance must be greater than 70 ml/min/1.73m(2). 7. Seronegative for HIV antibody. Note: The experimental treatment being evaluated in this protocol depends on an intact immune system. Patients who are HIV seropositive can have decreased immune competence and thus may be less responsive to the experimental treatment. 8. Seronegative for active hepatitis B, and seronegative for hepatitis C antibody. If hepatitis C antibody test is positive, then patient must be tested for the presence of antigen by RT-PCR and be HCV RNA negative. 9. Patients must be willing to practice birth control during and for four months following treatment. 10. Patients must be willing to sign an informed consent. 11. Patients must be willing to sign an informed consent. EXCLUSION CRITERIA: 1. Patients who are initially rendered NED or MRD by combined modality therapy but exhibit disease progression prior to initiation of vaccination will be excluded from the study. 2. Patients who will have received more than two systemic cytotoxic treatment regimens for their thoracic malignancy by the time vaccination commences will be excluded. 3. Patients requiring corticosteroids (other than inhaled) will be excluded. 4. Patients with life expectancy less than 12 months will be excluded. 5. Patients receiving warfarin anticoagulation, who cannot be transferred to other agents such as enoxaparin or dabigatran, and for whom anticoagulants cannot be held for up to 24 hours will be excluded. 6. Patients with uncontrolled hypertension (\>160/95), unstable coronary disease evidenced by uncontrolled arrhythmias, unstable angina, decompensated CHF (\>NYHA Class II), or myocardial infarction within 6 months of study will be excluded. 7. Patients with other cardiac diseases may be excluded at the discretion of the PI following consultation with Cardiology consultants. 8. Patients with any of the following pulmonary function abnormalities will be excluded: FEV, \< 30% predicted; DLCO \< 30% predicted (post-bronchodilator); Oxygen Saturation less than 90% on room air. 9. Pregnant and/or lactating women will be excluded due to the unknown, potentially harmful effects of immune response to CT-X antigens and stem cell proteins that may be expressed in placenta, fetus, and neonates. 10. Patients with active infections, including HIV, will be excluded, due to unknown effects of the vaccine on lymphoid precursors. 11. Patients with any type of primary immunodeficiencies will be excluded from the study.